Mathematical analysis of a lymphatic filariasis model with quarantine and treatment
Identifieur interne : 000384 ( Main/Exploration ); précédent : 000383; suivant : 000385Mathematical analysis of a lymphatic filariasis model with quarantine and treatment
Auteurs : Peter M. Mwamtobe [Afrique du Sud, Malawi] ; Simphiwe M. Simelane [Afrique du Sud] ; Shirley Abelman [Afrique du Sud] ; Jean M. Tchuenche [Afrique du Sud]Source :
- BMC Public Health [ 1471-2458 ] ; 2017.
Descripteurs français
- KwdFr :
- MESH :
English descriptors
- KwdEn :
- MESH :
- statistics & numerical data : Quarantine.
- therapy : Elephantiasis, Filarial.
- transmission : Elephantiasis, Filarial.
- Decision Support Techniques, Humans, Models, Theoretical.
Abstract
Lymphatic filariasis is a globally neglected tropical parasitic disease which affects individuals of all ages and leads to an altered lymphatic system and abnormal enlargement of body parts.
A mathematical model of lymphatic filariaris with intervention strategies is developed and analyzed. Control of infections is analyzed within the model through medical treatment of infected-acute individuals and quarantine of infected-chronic individuals.
We derive the effective reproduction number,
Numerical simulations are carried out to monitor the dynamics of the filariasis model sub-populations for various parameter values of the associated reproduction threshold. Lastly, sensitivity analysis on key parameters that drive the disease dynamics is performed in order to identify their relative importance on the disease transmission.
Url:
DOI: 10.1186/s12889-017-4160-8
PubMed: 28302096
PubMed Central: 5356380
Affiliations:
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Tchuenche</name><affiliation wicri:level="1"><nlm:aff id="Aff1"><institution-wrap><institution-id institution-id-type="ISNI">0000 0004 1937 1135</institution-id><institution-id institution-id-type="GRID">grid.11951.3d</institution-id><institution>School of Computer Science and Applied Mathematics,</institution><institution>University of the Witwatersrand, Johannesburg,</institution></institution-wrap>Private Bag 3, Wits, Johannesburg, 2050 South Africa</nlm:aff><country xml:lang="fr">Afrique du Sud</country><wicri:regionArea>Private Bag 3, Wits, Johannesburg</wicri:regionArea><wicri:noRegion>Johannesburg</wicri:noRegion></affiliation></author></analytic><series><title level="j">BMC Public Health</title><idno type="eISSN">1471-2458</idno><imprint><date when="2017">2017</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Decision Support Techniques</term><term>Elephantiasis, Filarial (therapy)</term><term>Elephantiasis, Filarial (transmission)</term><term>Humans</term><term>Models, Theoretical</term><term>Quarantine (statistics & numerical data)</term></keywords><keywords scheme="KwdFr" xml:lang="fr"><term>Filariose lymphatique ()</term><term>Filariose lymphatique (transmission)</term><term>Humains</term><term>Modèles théoriques</term><term>Quarantaine ()</term><term>Techniques d'aide à la décision</term></keywords><keywords scheme="MESH" qualifier="statistics & numerical data" xml:lang="en"><term>Quarantine</term></keywords><keywords scheme="MESH" qualifier="therapy" xml:lang="en"><term>Elephantiasis, Filarial</term></keywords><keywords scheme="MESH" qualifier="transmission" xml:lang="en"><term>Elephantiasis, Filarial</term></keywords><keywords scheme="MESH" xml:lang="en"><term>Decision Support Techniques</term><term>Humans</term><term>Models, Theoretical</term></keywords><keywords scheme="MESH" xml:lang="fr"><term>Filariose lymphatique</term><term>Humains</term><term>Modèles théoriques</term><term>Quarantaine</term><term>Techniques d'aide à la décision</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en"><sec><title>Background</title><p>Lymphatic filariasis is a globally neglected tropical parasitic disease which affects individuals of all ages and leads to an altered lymphatic system and abnormal enlargement of body parts.</p></sec><sec><title>Methods</title><p>A mathematical model of lymphatic filariaris with intervention strategies is developed and analyzed. Control of infections is analyzed within the model through medical treatment of infected-acute individuals and quarantine of infected-chronic individuals.</p></sec><sec><title>Results</title><p>We derive the effective reproduction number, <inline-formula id="IEq1"><alternatives><tex-math id="M1">\documentclass[12pt]{minimal}
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\begin{document}$\mathcal {R}_{0},$\end{document}</tex-math><mml:math id="M2"><mml:msub><mml:mrow><mml:mi mathvariant="script">R</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:math><inline-graphic xlink:href="12889_2017_4160_Article_IEq1.gif"></inline-graphic></alternatives></inline-formula> and its interpretation/investigation suggests that treatment contributes to a reduction in lymphatic filariasis cases faster than quarantine. However, this reduction is greater when the two intervention approaches are applied concurrently.</p></sec><sec><title>Conclusions</title><p>Numerical simulations are carried out to monitor the dynamics of the filariasis model sub-populations for various parameter values of the associated reproduction threshold. Lastly, sensitivity analysis on key parameters that drive the disease dynamics is performed in order to identify their relative importance on the disease transmission.</p></sec></div></front><back><div1 type="bibliography"><listBibl><biblStruct></biblStruct><biblStruct></biblStruct><biblStruct></biblStruct><biblStruct><analytic><author><name sortKey="Critchley, J" uniqKey="Critchley J">J Critchley</name></author><author><name sortKey="Addiss, D" uniqKey="Addiss D">D Addiss</name></author><author><name sortKey="Gamble, C" uniqKey="Gamble C">C Gamble</name></author><author><name sortKey="Garner, P" uniqKey="Garner P">P Garner</name></author><author><name sortKey="Gelband, H" uniqKey="Gelband H">H Gelband</name></author><author><name sortKey="Ejere, H" uniqKey="Ejere H">H Ejere</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Van Den Berg, H" uniqKey="Van Den Berg H">H van den Berg</name></author><author><name sortKey="Kelly Hope, La" uniqKey="Kelly Hope 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Tchuenche</name></author><author><name sortKey="Dube, N" uniqKey="Dube N">N Dube</name></author><author><name sortKey="Bhunu, Cp" uniqKey="Bhunu C">CP Bhunu</name></author><author><name sortKey="Smith, Rj" uniqKey="Smith R">RJ Smith</name></author><author><name sortKey="Bauch, Ct" uniqKey="Bauch C">CT Bauch</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Kamgang, Jc" uniqKey="Kamgang J">JC Kamgang</name></author><author><name sortKey="Sallet, G" uniqKey="Sallet G">G Sallet</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Tchuenche, Jm" uniqKey="Tchuenche J">JM Tchuenche</name></author><author><name sortKey="Chiyaka, C" uniqKey="Chiyaka C">C Chiyaka</name></author><author><name sortKey="Chan, D" uniqKey="Chan D">D Chan</name></author><author><name sortKey="Matthews, A" uniqKey="Matthews A">A Matthews</name></author><author><name sortKey="Mayer, G" uniqKey="Mayer G">G Mayer</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Chitnis, N" uniqKey="Chitnis N">N Chitnis</name></author><author><name sortKey="Hyman, Jm" uniqKey="Hyman J">JM Hyman</name></author><author><name sortKey="Cushing, Jm" uniqKey="Cushing J">JM Cushing</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Anderson, Rm" uniqKey="Anderson R">RM Anderson</name></author><author><name sortKey="May, Rm" uniqKey="May R">RM May</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Mtisi, E" uniqKey="Mtisi E">E Mtisi</name></author><author><name sortKey="Rwezaura, H" uniqKey="Rwezaura H">H Rwezaura</name></author><author><name sortKey="Tchuenche, Jm" uniqKey="Tchuenche J">JM Tchuenche</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Okosun, Ko" uniqKey="Okosun K">KO Okosun</name></author><author><name sortKey="Ouifki, R" uniqKey="Ouifki R">R Ouifki</name></author><author><name sortKey="Marcus, N" uniqKey="Marcus N">N Marcus</name></author></analytic></biblStruct></listBibl></div1></back></TEI><affiliations><list><country><li>Afrique du Sud</li><li>Malawi</li></country></list><tree><country name="Afrique du Sud"><noRegion><name sortKey="Mwamtobe, Peter M" sort="Mwamtobe, Peter M" uniqKey="Mwamtobe P" first="Peter M." last="Mwamtobe">Peter M. Mwamtobe</name></noRegion><name sortKey="Abelman, Shirley" sort="Abelman, Shirley" uniqKey="Abelman S" first="Shirley" last="Abelman">Shirley Abelman</name><name sortKey="Abelman, Shirley" sort="Abelman, Shirley" uniqKey="Abelman S" first="Shirley" last="Abelman">Shirley Abelman</name><name sortKey="Mwamtobe, Peter M" sort="Mwamtobe, Peter M" uniqKey="Mwamtobe P" first="Peter M." last="Mwamtobe">Peter M. Mwamtobe</name><name sortKey="Simelane, Simphiwe M" sort="Simelane, Simphiwe M" uniqKey="Simelane S" first="Simphiwe M." last="Simelane">Simphiwe M. Simelane</name><name sortKey="Simelane, Simphiwe M" sort="Simelane, Simphiwe M" uniqKey="Simelane S" first="Simphiwe M." last="Simelane">Simphiwe M. Simelane</name><name sortKey="Tchuenche, Jean M" sort="Tchuenche, Jean M" uniqKey="Tchuenche J" first="Jean M." last="Tchuenche">Jean M. Tchuenche</name></country><country name="Malawi"><noRegion><name sortKey="Mwamtobe, Peter M" sort="Mwamtobe, Peter M" uniqKey="Mwamtobe P" first="Peter M." last="Mwamtobe">Peter M. Mwamtobe</name></noRegion></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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